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2162961601 = 41233257881
BaseRepresentation
bin1000000011101100…
…0010110011000001
312120201222211111221
42000323002303001
513412204232401
6554343435041
7104412604333
oct20073026301
95521884457
102162961601
11a0aa32079
12504455a81
13286163b48
14167399453
15c9d527a1
hex80ec2cc1

2162961601 has 16 divisors (see below), whose sum is σ = 2236420368. Its totient is φ = 2090598400.

The previous prime is 2162961553. The next prime is 2162961631. The reversal of 2162961601 is 1061692612.

It can be written as a sum of positive squares in 8 ways, for example, as 173712400 + 1989249201 = 13180^2 + 44601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2162961601 - 219 = 2162437313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2162961631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2454681 + ... + 2455561.

It is an arithmetic number, because the mean of its divisors is an integer number (139776273).

Almost surely, 22162961601 is an apocalyptic number.

It is an amenable number.

2162961601 is a deficient number, since it is larger than the sum of its proper divisors (73458767).

2162961601 is a wasteful number, since it uses less digits than its factorization.

2162961601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2162961601 is about 46507.6509942181. The cubic root of 2162961601 is about 1293.2513382776.

The spelling of 2162961601 in words is "two billion, one hundred sixty-two million, nine hundred sixty-one thousand, six hundred one".

Divisors: 1 41 233 257 881 9553 10537 36121 59881 205273 226417 2455121 8416193 9283097 52755161 2162961601